Multivariable pseudospectrum in $C^*$-algebras
Operator Algebras
2024-03-08 v2
Abstract
We look at various forms of spectrum and associated pseudospectrum that can be defined for noncommuting -tuples of Hermitian elements of a -algebra. The emphasis is on theoretical calculations of examples, in particular for noncommuting pairs and triple of operators on infinite dimensional Hilbert space. In particular, we look at the universal pair of projections in a -algebra, the usual position and momentum operators, and triples of tridiagonal operators.
Cite
@article{arxiv.2402.15934,
title = {Multivariable pseudospectrum in $C^*$-algebras},
author = {Alexander Cerjan and Vasile Lauric and Terry A. Loring},
journal= {arXiv preprint arXiv:2402.15934},
year = {2024}
}
Comments
Corrected spelling in the title. Strengthened Theorem 3.5